A199750 2*11^n+1.
3, 23, 243, 2663, 29283, 322103, 3543123, 38974343, 428717763, 4715895383, 51874849203, 570623341223, 6276856753443, 69045424287863, 759499667166483, 8354496338831303, 91899459727144323, 1010894056998587543, 11119834626984462963
Offset: 0
Links
- Vincenzo Librandi, Table of n, a(n) for n = 0..900
- Index entries for linear recurrences with constant coefficients, signature (12,-11).
Programs
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Magma
[2*11^n+1: n in [0..30]];
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Mathematica
2*11^Range[0,20]+1 (* or *) LinearRecurrence[{12,-11},{3,23},20] (* Harvey P. Dale, Aug 14 2012 *)
Formula
a(n) = 11*a(n-1)-10.
a(n) = 12*a(n-1)-11*a(n-2).
G.f.: (3-13*x)/((1-x)*(1-11*x)).